# TEST 1

TEST 1

Question 1

Solve the following linear equation:

A. 2

B. 3

C. -6

D. -8

Question 2

Solve the following radical equation:

√(x-3) + 5 = x

A. {2}

B. {5}

C. {9}

D. {7}

Question 3

Solve the following quadratic equation:

2x2 + 5x - 3 = 0

A. {-1/2,2}

B. {1/2,3}

C. {2,4}

D. {-1/3,5}

Question 4

Solve the following linear inequality:

3(x + 4) ≥ 5x – 123

A. [-7,∞)

B. (-∞, 13/2]

C. (-∞, 12]

D. None of the above

Question 5

Solve the following quadratic equation:

6x2 + 3x - 30 = 0

A. {1/2,2}

B. {1/2,7/5}

C. {3,-5/2}

D. {-1/3,5}

Question 6

Solve the following equation involving absolute value:

-3│4x - 7│+ 15 = 0

A. {2/3, 3}

B. {1/4, 6}

C. {1/2, 3}

D. {1/5, 3}

Question 7

The y coordinate of a point where a graph crosses the y axis is called a/an:

A. 1st quadrant.

B. X axis.

C. Y intercept.

D. X intercept.

Question 8

Solve the following quadratic equation:

(x + 3)2 + 25 = 0

A. {-4 - 6i, -1 + 4i}

B. {-4 - 6i, -2 + 5i}

C. {-3 - 5i, -3 + 5i}

D. {-6 - 5i, -2 + 4i}

Question 9

Solve the system of linear inequalities by graphing.

x – 2y ≥ 4

x ≤ 4

A.

B.

C.

D.

Question 10

Solve the following formula for the speciﬁed variable:

V = 1/3 lwh for h

A. h = 3V/lw

B. h = 5V/lw

C. h = 2V/ w

D. h = 7V/lw

Question 11

The graph of an equation in two variables is:

A. one method for graphing such equations.

B. a solution of an equation in two variables.

C. the set of all points whose coordinates satisfy the equation.

D. are ordered pairs of real numbers which denote distance and direction along the x axis.

Question 12

In the rectangular coordinate system, the point of intersection of the horizontal axis and vertical axis is called which of the following?

A. Point plotting

B. Quadrants

C. Viewing window

D. Origin

Question 13

Solve the following polynomial equation:

x3 - 4x2 - x + 4 = 0

A. {2, 3, 4}

B. {-1, 2, 5}

C. {1, 1, 3}

D. {-1, 1, 4}

Question 14

Solve the system of linear inequalities by graphing.

3x + 4y ≤ 12

x + 3y ≤ 6

x ≥ 0

y ≥ 0

A.

B.

C.

D.

Solve the following linear inequality:

-3 ≤ 2x + 5

________________________________________3 < 6

A. [-7, 13/2)

B. [-12, 7/2)

C. [-3, 8/3)

D. [3, 6/5)

Question 16

Solve the following absolute value inequality:

│3x + 2│ ≥ 3

A. (-∞, -5/3] ∪ [1/3, ∞)

B. (-∞, -6/7] ∪ [5/6, ∞)

C. (-∞, -4/7] ∪ [1/2, ∞)

D. (∞, -6/7] ∪ [1/3, ∞)

Question 17

Solve the following equation that has two radicals:

√x+4 + √x-1 = 5

A. {4}

B. {6}

C. {2}

D. {3}

Question 18

The x coordinate of a y coordinate point where a graph crosses the y axis is:

A. This answer cannot be determined.

B. -1.

C. X2.

D. 0.

Question 19

Solve:

9x + 8 = 2x + 8

A. –1

B. 0

C. 1

D. 2

Question 20

Which statement is FALSE?

A. d ∉ {a, b, c}

B. Ø ∈ {a, b, c}

C. Ø ⊂ {a, b, c}

D. a ∈ {a, b, c}

Question 1

Evaluate each piecewise function at the given values of the independent variable.

g(x) = x + 3 if x ≥ -3

-(x + 3) if x < -3

1. g(0)

2. g(-6)

3. g(-3)

A. 1. -1

2. 7

3. 19

B. 1. 3

2. 3

3. 0

C. 1. -7

2. 9

3. 2

D. 1. 9

2. 7

3. 19

Question 2

Determine whether the following equation defines y as a function of x:

x + y = 16

A. Y is a function of x.

B. Y is not a function of x.

C. X is a function of y.

D. X is not a function of y.

Question 3

Evaluate each function at the given values of the independent variable and simplify.

g(x) = x2 + 2x + 3

1. g(-1)

2. g(x + 5)

3. g(-x)

A.

1. 2

2. x2 + 12x + 38

3. x2 - 2x + 3

B.

1. 4

2. x2 + 6x + 38

3. x2 - 3x +5

C.

1. 7

2. x2 + 7x + 56

3. x2+ 4x + 7

D.

1. 5

2. x2 -12x + 38

3. x2+ 5x + 7

Question 4

Evaluate each function at the given values of the independent variable and simplify.

f(x) = 4x + 5

1. f(6)

2. f(x + 1)

3. f(-x)

A. 1. 27

2. 5x + 9

3. -4x + 8

B. 1. 35

2. 4x + 9

3. -7x + 5

C. 1. 29

2. 4x + 9

3. -4x + 5

D. 1. 29

2. 3x + 8

3. 4x + 6

Question 5

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.

(4, 7) and (8, 10)

A. 3/4, rises

B. 2/4, falls

C. 1/4, horizontal

D. 3/5, vertical

Question 6

Determine whether the function is odd, even, neither, or can’t be determined:

h(x) = x2 – x4

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 7

Find the average rate of change of the function from x1 to x2.

f(x) = √x from x1 = 4 to x2 = 9

A. 1/5

B. 1

C. 2

D. 1/4

Question 8

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6

B. f(x) = 8

C. f(x) = 3

D. f(x) = 5

Question 9

Determine whether the function is odd, even, neither, or can’t be determined:

g(x) = x2 + x

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 10

Evaluate each piecewise function at the given values of the independent variable.

f(x) = 3x + 5 if x < 0

4x + 7 if x ≥ 0

1. f(-2)

2. f(0)

3. f(3)

A. 1. -1

2. 7

3. 19

B. 1. -5

2. 9

3. 19

C. 1. -1

2. 7

3. 21

D. 1. 6

2. 7

3. 19

Question 11

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x√1 - x2

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 12

Give the slope and y-intercept of each line whose equation is given.

y = -3/5x + 7

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = -3/5; b = 7

D. m = 1; b = 8

Question 13

Give the slope and y-intercept of each line whose equation is given.

f(x) = 3/4 x - 2

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = 2; b = 1

D. m = 8; b = 7

Question 14

Give the slope and y-intercept of each line whose equation is given.

y = 2x + 1

A. m = 3; b = 4

B. m = 5; b = 1

C. m = 6; b = 7

D. m = 2; b = 1

Question 15

Use the given conditions to write an equation for each line in point-slope form.

Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)

B. y - 3 = -5(x + 20)

C. y + 3 = -5(x - 2)

D. y - 3 = -5(x + 5)

Question 16

Determine whether the following equation defines y as a function of x:

x2 + y2 = 16

A. Y is a function of x.

B. X is not a function of y.

C. X is a function of x.

D. Y is not a function of x.

Question 17

Use the given conditions to write an equation for each line in point-slope form.

Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.

A. y + 10 = -4(x + 8)

B. y + 11 = 4(x2 + 8)

C. y - 12 = -5(x + 20)

D. y + 14 = -4(x - 5)

Question 18

Use the given conditions to write an equation for each line in general form.

Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.

A. 3x - 3y + 11 = 0

B. 2x - 3y + 10 = 0

C. 6x - 4y + 12 = 0

D. 2x - 5y + 15 = 0

Question 19

Find the average rate of change of the function from x1 to x2.

f(x) = 3x from x1 = 0 to x2 = 5

A. -4

B. 8

C. 2

D. 3

Question 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.

(4, -2) and (3, -2)

A. 1; rises

B. 4; fall

C. 0; horizontal

D. 0; vertical

Question 1

Solve the following linear equation:

A. 2

B. 3

C. -6

D. -8

Question 2

Solve the following radical equation:

√(x-3) + 5 = x

A. {2}

B. {5}

C. {9}

D. {7}

Question 3

Solve the following quadratic equation:

2x2 + 5x - 3 = 0

A. {-1/2,2}

B. {1/2,3}

C. {2,4}

D. {-1/3,5}

Question 4

Solve the following linear inequality:

3(x + 4) ≥ 5x – 123

A. [-7,∞)

B. (-∞, 13/2]

C. (-∞, 12]

D. None of the above

Question 5

Solve the following quadratic equation:

6x2 + 3x - 30 = 0

A. {1/2,2}

B. {1/2,7/5}

C. {3,-5/2}

D. {-1/3,5}

Question 6

Solve the following equation involving absolute value:

-3│4x - 7│+ 15 = 0

A. {2/3, 3}

B. {1/4, 6}

C. {1/2, 3}

D. {1/5, 3}

Question 7

The y coordinate of a point where a graph crosses the y axis is called a/an:

A. 1st quadrant.

B. X axis.

C. Y intercept.

D. X intercept.

Question 8

Solve the following quadratic equation:

(x + 3)2 + 25 = 0

A. {-4 - 6i, -1 + 4i}

B. {-4 - 6i, -2 + 5i}

C. {-3 - 5i, -3 + 5i}

D. {-6 - 5i, -2 + 4i}

Question 9

Solve the system of linear inequalities by graphing.

x – 2y ≥ 4

x ≤ 4

A.

B.

C.

D.

Question 10

Solve the following formula for the speciﬁed variable:

V = 1/3 lwh for h

A. h = 3V/lw

B. h = 5V/lw

C. h = 2V/ w

D. h = 7V/lw

Question 11

The graph of an equation in two variables is:

A. one method for graphing such equations.

B. a solution of an equation in two variables.

C. the set of all points whose coordinates satisfy the equation.

D. are ordered pairs of real numbers which denote distance and direction along the x axis.

Question 12

In the rectangular coordinate system, the point of intersection of the horizontal axis and vertical axis is called which of the following?

A. Point plotting

B. Quadrants

C. Viewing window

D. Origin

Question 13

Solve the following polynomial equation:

x3 - 4x2 - x + 4 = 0

A. {2, 3, 4}

B. {-1, 2, 5}

C. {1, 1, 3}

D. {-1, 1, 4}

Question 14

Solve the system of linear inequalities by graphing.

3x + 4y ≤ 12

x + 3y ≤ 6

x ≥ 0

y ≥ 0

A.

B.

C.

D.

Solve the following linear inequality:

-3 ≤ 2x + 5

________________________________________3 < 6

A. [-7, 13/2)

B. [-12, 7/2)

C. [-3, 8/3)

D. [3, 6/5)

Question 16

Solve the following absolute value inequality:

│3x + 2│ ≥ 3

A. (-∞, -5/3] ∪ [1/3, ∞)

B. (-∞, -6/7] ∪ [5/6, ∞)

C. (-∞, -4/7] ∪ [1/2, ∞)

D. (∞, -6/7] ∪ [1/3, ∞)

Question 17

Solve the following equation that has two radicals:

√x+4 + √x-1 = 5

A. {4}

B. {6}

C. {2}

D. {3}

Question 18

The x coordinate of a y coordinate point where a graph crosses the y axis is:

A. This answer cannot be determined.

B. -1.

C. X2.

D. 0.

Question 19

Solve:

9x + 8 = 2x + 8

A. –1

B. 0

C. 1

D. 2

Question 20

Which statement is FALSE?

A. d ∉ {a, b, c}

B. Ø ∈ {a, b, c}

C. Ø ⊂ {a, b, c}

D. a ∈ {a, b, c}

Question 1

Evaluate each piecewise function at the given values of the independent variable.

g(x) = x + 3 if x ≥ -3

-(x + 3) if x < -3

1. g(0)

2. g(-6)

3. g(-3)

A. 1. -1

2. 7

3. 19

B. 1. 3

2. 3

3. 0

C. 1. -7

2. 9

3. 2

D. 1. 9

2. 7

3. 19

Question 2

Determine whether the following equation defines y as a function of x:

x + y = 16

A. Y is a function of x.

B. Y is not a function of x.

C. X is a function of y.

D. X is not a function of y.

Question 3

Evaluate each function at the given values of the independent variable and simplify.

g(x) = x2 + 2x + 3

1. g(-1)

2. g(x + 5)

3. g(-x)

A.

1. 2

2. x2 + 12x + 38

3. x2 - 2x + 3

B.

1. 4

2. x2 + 6x + 38

3. x2 - 3x +5

C.

1. 7

2. x2 + 7x + 56

3. x2+ 4x + 7

D.

1. 5

2. x2 -12x + 38

3. x2+ 5x + 7

Question 4

Evaluate each function at the given values of the independent variable and simplify.

f(x) = 4x + 5

1. f(6)

2. f(x + 1)

3. f(-x)

A. 1. 27

2. 5x + 9

3. -4x + 8

B. 1. 35

2. 4x + 9

3. -7x + 5

C. 1. 29

2. 4x + 9

3. -4x + 5

D. 1. 29

2. 3x + 8

3. 4x + 6

Question 5

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.

(4, 7) and (8, 10)

A. 3/4, rises

B. 2/4, falls

C. 1/4, horizontal

D. 3/5, vertical

Question 6

Determine whether the function is odd, even, neither, or can’t be determined:

h(x) = x2 – x4

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 7

Find the average rate of change of the function from x1 to x2.

f(x) = √x from x1 = 4 to x2 = 9

A. 1/5

B. 1

C. 2

D. 1/4

Question 8

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.

A. f(x) = 6

B. f(x) = 8

C. f(x) = 3

D. f(x) = 5

Question 9

Determine whether the function is odd, even, neither, or can’t be determined:

g(x) = x2 + x

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 10

Evaluate each piecewise function at the given values of the independent variable.

f(x) = 3x + 5 if x < 0

4x + 7 if x ≥ 0

1. f(-2)

2. f(0)

3. f(3)

A. 1. -1

2. 7

3. 19

B. 1. -5

2. 9

3. 19

C. 1. -1

2. 7

3. 21

D. 1. 6

2. 7

3. 19

Question 11

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x√1 - x2

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 12

Give the slope and y-intercept of each line whose equation is given.

y = -3/5x + 7

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = -3/5; b = 7

D. m = 1; b = 8

Question 13

Give the slope and y-intercept of each line whose equation is given.

f(x) = 3/4 x - 2

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = 2; b = 1

D. m = 8; b = 7

Question 14

Give the slope and y-intercept of each line whose equation is given.

y = 2x + 1

A. m = 3; b = 4

B. m = 5; b = 1

C. m = 6; b = 7

D. m = 2; b = 1

Question 15

Use the given conditions to write an equation for each line in point-slope form.

Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)

B. y - 3 = -5(x + 20)

C. y + 3 = -5(x - 2)

D. y - 3 = -5(x + 5)

Question 16

Determine whether the following equation defines y as a function of x:

x2 + y2 = 16

A. Y is a function of x.

B. X is not a function of y.

C. X is a function of x.

D. Y is not a function of x.

Question 17

Use the given conditions to write an equation for each line in point-slope form.

Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.

A. y + 10 = -4(x + 8)

B. y + 11 = 4(x2 + 8)

C. y - 12 = -5(x + 20)

D. y + 14 = -4(x - 5)

Question 18

Use the given conditions to write an equation for each line in general form.

Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.

A. 3x - 3y + 11 = 0

B. 2x - 3y + 10 = 0

C. 6x - 4y + 12 = 0

D. 2x - 5y + 15 = 0

Question 19

Find the average rate of change of the function from x1 to x2.

f(x) = 3x from x1 = 0 to x2 = 5

A. -4

B. 8

C. 2

D. 3

Question 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.

(4, -2) and (3, -2)

A. 1; rises

B. 4; fall

C. 0; horizontal

D. 0; vertical

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